Question

find the value of x if log3(x+6)=2​

Answer 1

Answer:

log3(x+6) =2

x+6=3^2

x+6=9

x=9-6

x=3

hope it helps you !!

Answer 2

Given,

log₃(x+6) =2.

To find,

The value of x

Solution,

The formula of log ₐb = n is aⁿ = b.

Therefore, log₃(x+6) =2  is 3² = x+6.

⇒   9 = x + 6.

+ 6 which is on the Right-Hand Side of the equation would be shifted to the Left-Hand Side of the equation and its sign would change from +6 to -6.

Therefore, we get

⇒   9 - 6 = x

⇒   3 = x

Hence, the value of x is 3.